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Finding the Fourth Proportional to 471,616,210.80, 706,752,469.80 and 347,828,511.60

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Solution

The fourth proportional to 471,616,210.80, 706,752,469.80 and 347,828,511.60 is: 521,247,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,616,210.80 : 706,752,469.80 = 347,828,511.60 : x
  2. Step 2: Convert to fraction form
    471,616,210.80/706,752,469.80 = 347,828,511.60/x
  3. Step 3: Cross multiply
    471,616,210.80x = 706,752,469.80 × 347,828,511.60
  4. Step 4: Simplify right side
    471,616,210.80x = 245,828,659,640,157,952
  5. Step 5: Solve for x
    x = 245,828,659,640,157,952/471,616,210.80
  6. Step 6: Final answer
    x = 521,247,264.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.